Does this series converge or diverge?

$\displaystyle

\sum\limits_{n = 1}^\infty {\frac{{5\ln n}}

{{\sqrt[{}]{{n^3 }}}}}

$

Solution

I found that:

$\displaystyle

\frac{1}

{n} < \frac{{5\ln n}}

{{\sqrt[{}]{{n^3 }}}}

$

Therefore the series is divergent by comparison with harmonic series?

Thank you.